2540706538000 has 80 divisors (see below), whose sum is σ = 6144278727600. Its totient is φ = 1016141952000.

The previous prime is 2540706537983. The next prime is 2540706538009. The reversal of 2540706538000 is 8356070452.

It can be written as a sum of positive squares in 8 ways, for example, as 158598283536 + 2382108254464 = 398244^2 + 1543408^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2540706538009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15013860 + ... + 15182140.

It is an arithmetic number, because the mean of its divisors is an integer number (76803484095).

Almost surely, 2^{2540706538000} is an apocalyptic number.

2540706538000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2540706538000 is an abundant number, since it is smaller than the sum of its proper divisors (3603572189600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2540706538000 is a wasteful number, since it uses less digits than its factorization.

2540706538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175853 (or 175837 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 40.

The spelling of 2540706538000 in words is "two trillion, five hundred forty billion, seven hundred six million, five hundred thirty-eight thousand".